Flashcard 5.6-5.7 Big Ideas Algebra I

Front

What is a solution to a graph?

Back

A solution to a graph is a point (x, y) that satisfies the equation or inequality represented by the graph.

Front

What does a solid line represent when graphing inequalities?

Back

A solid line represents that the points on the line are included in the solution set, used for symbols ≤ and ≥.

Front

What does a dashed line represent when graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set, used for symbols < and >.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the general form of a linear inequality in two variables?

Back

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation. 2. Use a solid line for ≤ or ≥, and a dashed line for < or >. 3. Shade the region that satisfies the inequality.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables, and the solution is the region where the shaded areas overlap.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution to a system of inequalities if it satisfies all inequalities in the system.